Applied equivariant degree. II: Symmetric Hopf bifurcations of functional differential equations

DOI10.3934/dcds.2006.16.923zbMath1119.58007OpenAlexW2315410718MaRDI QIDQ862178

Haibo Ruan, Zalman Balanov, Meymanat Farzamirad, Wiesław Krawcewicz

Publication date: 5 February 2007

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2006.16.923

zbMATH Keywords

functional differential equationsAndronov-Hopf bifurcationequivariant degree theory

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Periodic solutions to functional-differential equations (34K13) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Bifurcation theory of functional-differential equations (34K18) Group-invariant bifurcation theory in infinite-dimensional spaces (58E09)

Related Items (7)

Hopf bifurcation in a symmetric configuration of transmission lines ⋮ On variational and topological methods in nonlinear difference equations ⋮ Twisted \(\Gamma \times \mathbb T^n\)-equivariant degree with \(n\)-parameters: computational formulae and applications ⋮ A short treatise on the equivariant degree theory and its applications ⋮ Symmetric bifurcation analysis of synchronous states of time-delayed coupled phase-locked loop oscillators ⋮ G. E. Hutchinson's delay logistic system with symmetries and spatial diffusion ⋮ Applications of equivariant degree for gradient maps to symmetric Newtonian systems

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